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Found 194 Documents (Results 1–100)

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Higson, Nigel

The tangent groupoid and the index theorem. (English) Zbl 1230.58016

Blanchard, Etienne (ed.) et al., Quanta of maths. Conference on non commutative geometry in honor of Alain Connes, Paris, France, March 29–April 6, 2007. Providence, RI: American Mathematical Society (AMS); Cambridge, MA: Clay Mathematics Institute (ISBN 978-0-8218-5203-3/pbk). Clay Mathematics Proceedings 11, 241-256 (2010).
Reviewer: Charlotte Wahl (Hannover)
MSC:  58J22 58H05 46L65
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Debord, Claire; Lescure, Jean-Marie

Index theory and groupoids. (English) Zbl 1213.81209

Ocampo, Hernán (ed.) et al., Geometric and topological methods for quantum field theory. Papers based on the presentations at the summer school ‘Geometric and topological methods for quantum field theory’, Villa de Leyva, Colombia, July 2–20, 2007. Cambridge: Cambridge University Press (ISBN 978-0-521-76482-7/hbk; 978-0-511-71797-0/ebook). 86-158 (2010).
Reviewer: Akira Asada (Takarazuka)
MSC:  81T75 58J15 58H05 46L05
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Full Text: arXiv
Ponge, Raphaël

A new short proof of the local index formula of Atiyah-Singer. (English) Zbl 1114.58012

Consani, Caterina (ed.) et al., Noncommutative geometry and number theory. Where arithmetic meets geometry and physics. Based on two workshops, Bonn, Germany, August 2003 and June 2004. Wiesbaden: Vieweg (ISBN 3-8348-0170-4/hbk). Aspects of Mathematics E 37, 361-372 (2006).
Reviewer: Peter Haskell (Blacksburg)
MSC:  58J20 58J35 46L87 58J42 58B34
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Schick, Thomas

Index theory and the Baum-Connes conjecture. (English) Zbl 1069.58015

Coen, Salvatore (ed.), Geometry seminars. 2001–2004. Including papers of the conference on noncommutative geometry: topology, combinatorics and physics, Bologna, Italy, Mars 13–20, 2002. Bologna: Università degli Studi di Bologna, Dipartimento di Matematica. 231-280 (2004).
Reviewer: Peter Haskell (Blacksburg)
MSC:  58J22 19K56 46L80 55R40
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Full Text: arXiv
Landsman, N. P.

Quantization as a functor. (English) Zbl 1034.46065

Voronov, Theodore (ed.), Quantization, Poisson brackets and beyond. London Mathematical Society regional meeting and workshop on quantization, deformations, and new homological and categorical methods in mathematical physics, Manchester, UK, July 6–13, 2001. Providence, RI: American Mathematical Society (AMS) (ISBN 0-8218-3201-8). Contemp. Math. 315, 9-24 (2002).
MSC:  46L65 46L60 46L87 81S10 22A22
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Full Text: arXiv
Freed, Daniel S.

Dirac charge quantization and generalized differential cohomology. (English) Zbl 1058.81058

Yau, S.T. (ed.), Surveys in differential geometry. Papers dedicated to Atiyah, Bott, Hirzebruch and Singer . Somerville, MA: International Press (ISBN 1-57146-069-1/hbk). Surv. Differ. Geom., Suppl. J. Differ. Geom. 7, 129-194 (2000).
Reviewer: Jesus A. Álvarez López (Santiago de Compostela)
MSC:  81T30 81T70 58J22 58J90 81T50 55R65 81T60 81V10
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Full Text: arXiv
Liu, Kefeng

Modular forms and topology. (English) Zbl 0974.58020

Dong, Chongying (ed.) et al., Moonshine, the Monster, and related topics. Joint summer research conference on moonshine, the Monster, and related topics, June 18-23, 1994, Mount Holyoke College, South Hadley, MA, USA. Providence, RI: American Mathematical Society. Contemp. Math. 193, 237-262 (1996).
MSC:  58J20 57R20 11F11 17B67
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Boutet de Monvel, L.

Index of differential systems. (Indice des systèmes différentiels.) (French) Zbl 0817.58041

Zampieri, G. (ed.) et al., \(D\)-modules, representation theory, and quantum groups. Lectures given at the 2nd session of the Centro Internazionale Matematico Estivo (C.I.M.E.) held in Venezia, Italy, June 12-20, 1992. Berlin: Springer-Verlag. Lect. Notes Math. 1565, 1-30 (1993).
Reviewer: L.Narváez-Macarro (Sevilla)
MSC:  58J22 58J10 32C38 19K56
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